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Finding the Fourth Proportional to 5,174.19, 7,761.18 and 1,278.54

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Solution

The fourth proportional to 5,174.19, 7,761.18 and 1,278.54 is: 1,917.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.19 : 7,761.18 = 1,278.54 : x
  2. Step 2: Convert to fraction form
    5,174.19/7,761.18 = 1,278.54/x
  3. Step 3: Cross multiply
    5,174.19x = 7,761.18 × 1,278.54
  4. Step 4: Simplify right side
    5,174.19x = 9,922,979.08
  5. Step 5: Solve for x
    x = 9,922,979.08/5,174.19
  6. Step 6: Final answer
    x = 1,917.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.